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LCM of 887, 704, 730, 167

Created By : Jatin Gogia
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023


Find the LCM of 887, 704, 730, 167 with the LCM of Two or More Numbers Calculator. Here we are teaching you two different methods through which you can calculate the LCM of 887, 704, 730, 167. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 887,704,730,167

Given numbers are 887,704,730,167

The least common multiple of numbers can be find using the prime factorization method or LCM formula.

The LCM of 887,704,730,167 is 38063227840.

Find LCM of 887,704,730,167 with Prime Factorization


2 887, 704, 730, 167
887, 352, 365, 167

Multiply the prime numbers at the bottom and the left side.

2 x 887 x 352 x 365 x 167 = 38063227840

Therefore, the lowest common multiple of 887,704,730,167 is 38063227840.

LCM Formula to Find Lowest Common Multiple of 887,704,730,167

LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

Firstly, we have to find the product of all the numbers.

887 x 704 x 730 x 167 = 76126455680

Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.

887 : 1, 887

704 : 1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704

730 : 1, 2, 5, 10, 73, 146, 365, 730

167 : 1, 167

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 887,704,730,167, is 1.

Now, the common factors can be found like this.

887:887

704:2x 2x 2x 2x 2x 2x 11

730:2x 5x 73

167:167

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2 = 2

Therefore, the value for common factors is 2.

Now that we have all the elements of the formula, we can plug them in to calculate the LCM.

LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

LCM = 76126455680/(1x2)

LCM = 76126455680/2

LCM = 38063227840

Thus, we can understand that the LCM of 887,704,730,167 is 38063227840.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 887, 704, 730, 167

1. What is the LCM of 887, 704, 730, 167?

Answer: LCM of 887, 704, 730, 167 is 38063227840.

2. How to calculate the LCM of 887, 704, 730, 167?

The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 887, 704, 730, 167.

3. What is the LCM formula?

The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.